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Finding the Fourth Proportional to 11,712.96, 17,563.20 and 5,136.96

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Solution

The fourth proportional to 11,712.96, 17,563.20 and 5,136.96 is: 7,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.96 : 17,563.20 = 5,136.96 : x
  2. Step 2: Convert to fraction form
    11,712.96/17,563.20 = 5,136.96/x
  3. Step 3: Cross multiply
    11,712.96x = 17,563.20 × 5,136.96
  4. Step 4: Simplify right side
    11,712.96x = 90,221,455.87
  5. Step 5: Solve for x
    x = 90,221,455.87/11,712.96
  6. Step 6: Final answer
    x = 7,702.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.